Regularity structure

Martin Hairer's theory of regularity structures provides a framework for studying a large class of subcritical parabolic stochastic partial differential equations arising from quantum field theory.^[1] The framework covers the Kardar–Parisi–Zhang equation , the $\Phi _{3}^{4}$ equation and the parabolic Anderson model, all of which requires renormalization in order for it to be well-defined.

References

↑ Hairer, Martin (2014). "A theory of regularity structures". Inventiones Mathematicae. 198: 269–504. doi:10.1007/s00222-014-0505-4.

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